Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Q1 (page 55)

Heights Heights of adult males are normally distributed. If a large sample of heights of adult males is randomly selected and the heights are illustrated in a histogram, what is the shape of that histogram?

Short Answer

Expert verified

The histogram will be bell-shaped.

Step by step solution

01

Given information

The data on the height of adult males is normally distributed.

A histogram is plotted for a large sample of heights of adult males.

02

Histogram of normal distribution

The histogram of a dataset following normal distribution is bell-shaped.

If a population follows a normal distribution, then the sample extracted from it of sufficiently large size also follows a normal distribution.

The histogram plotted for the sample will be bell-shaped as the sample follows a normal distribution.

Here, it is given that the heights of adult males follow a normal distribution.

A large sample is extracted from the population. Thus, the sample also follows a normal distribution.

A histogram is plotted for the sample of heights. The histogram will be bell-shaped as the sample is normally distributed.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Stemplots. In Exercises 7 and 8, construct the stem plot.

Diastolic Blood Pressure Refer to the data listed in Exercise 6. Identify the two values that are closest to the middle when the data are sorted in order from lowest to highest. (These values are often used to find the median, which is defined in Section 3-1.)

Interpreting a Histogram. In Exercises 5–8, answer the questions by referring to the following Minitab-generated histogram, which depicts the weights (grams) of all quarters listed in Data Set 29 “Coin Weights” in Appendix B. (Grams are actually units of mass and the values shown on the horizontal scale are rounded.)

Sample Size What is the approximate number of quarters depicted in the three bars farthest to the left?

Linear Correlation Coefficient In Exercises 9–12, the linear correlation coefficient r is provided. Use Table 2-11 on page 71 to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation?

Using the data from Exercise 5 “Brain Volume and IQ,” the linear correlation coefficient is r = 0.127.

In Exercises 19 and 20, construct the relative frequency distributions and answer the given questions.

Blood Platelet Counts Construct one table (similar to Table 2-9 on page 47) that includes relative frequencies based on the frequency distributions from Exercises 7 and 8 and then compare them. Are there notable differences?
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free